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A155637 10^n+5^n-1. 15
1, 14, 124, 1124, 10624, 103124, 1015624, 10078124, 100390624, 1001953124, 10009765624, 100048828124, 1000244140624, 10001220703124, 100006103515624, 1000030517578124, 10000152587890624, 100000762939453124 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..998

Index entries for linear recurrences with constant coefficients, signature (16,-65,50).

FORMULA

G.f.: 1/(1-10*x)+1/(1-5*x)-1/(1-x). E.g.f.: e^(10*x)+e^(5*x)-e^x.

a(n)=15*a(n-1)-50*a(n-2)-36 with a(0)=1, a(1)=14 - Vincenzo Librandi, Jul 21 2010

a(0)=1, a(1)=14, a(2)=124, a(n)=16*a(n-1)-65*a(n-2)+50*a(n-3) [From Harvey P. Dale, Oct 17 2011]

MAPLE

A155637:=n->10^n+5^n-1; seq(A155637(n), n=0..20); # Wesley Ivan Hurt, Feb 02 2014

MATHEMATICA

Table[10^n+5^n-1, {n, 0, 20}] (* or *) LinearRecurrence[{16, -65, 50}, {1, 14, 124}, 20] (* Harvey P. Dale, Oct 17 2011 *)

PROG

(PARI) a(n)=10^n+5^n-1 \\ Charles R Greathouse IV, Jun 11 2015

CROSSREFS

Cf. A155624, A155625, A155626, A155627, A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636.

Sequence in context: A147590 A167602 A212234 * A126535 A222647 A041001

Adjacent sequences:  A155634 A155635 A155636 * A155638 A155639 A155640

KEYWORD

nonn,easy

AUTHOR

Mohammad K. Azarian, Jan 30 2009

STATUS

approved

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Last modified January 24 00:13 EST 2021. Contains 340398 sequences. (Running on oeis4.)